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Finding the Fourth Proportional to 970.79, 1,455.84 and 525.96

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Solution

The fourth proportional to 970.79, 1,455.84 and 525.96 is: 788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.79 : 1,455.84 = 525.96 : x
  2. Step 2: Convert to fraction form
    970.79/1,455.84 = 525.96/x
  3. Step 3: Cross multiply
    970.79x = 1,455.84 × 525.96
  4. Step 4: Simplify right side
    970.79x = 765,713.61
  5. Step 5: Solve for x
    x = 765,713.61/970.79
  6. Step 6: Final answer
    x = 788.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.